1107618819840 has 864 divisors, whose sum is σ = 4390125929280. Its totient is φ = 255568379904.

The previous prime is 1107618819829. The next prime is 1107618819913. The reversal of 1107618819840 is 489188167011.

1107618819840 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 618 + 8 + 19 + 8 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276005674 + ... + 276009686.

It is an arithmetic number, because the mean of its divisors is an integer number (5081164270).

Almost surely, 2^{1107618819840} is an apocalyptic number.

1107618819840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1107618819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195062964640).

1107618819840 is an abundant number, since it is smaller than the sum of its proper divisors (3282507109440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1107618819840 is a wasteful number, since it uses less digits than its factorization.

1107618819840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 1107618819840 in words is "one trillion, one hundred seven billion, six hundred eighteen million, eight hundred nineteen thousand, eight hundred forty".